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Finding the Fourth Proportional to 822.42, 1,135.25 and 507.74

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Solution

The fourth proportional to 822.42, 1,135.25 and 507.74 is: 700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.42 : 1,135.25 = 507.74 : x
  2. Step 2: Convert to fraction form
    822.42/1,135.25 = 507.74/x
  3. Step 3: Cross multiply
    822.42x = 1,135.25 × 507.74
  4. Step 4: Simplify right side
    822.42x = 576,411.84
  5. Step 5: Solve for x
    x = 576,411.84/822.42
  6. Step 6: Final answer
    x = 700.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.